Combine potatoes and chicken broth in a 1-quart microwave-safe casserole. Cover with lid, and microwave at HIGH 12 minutes, stirring after 6 minutes.
Uncover dish. Stir in 1/2 cup artichoke hearts, green onions, 1/8 teaspoon black pepper, and ham. Sprinkle with cheese. Microwave, uncovered, at HIGH 1 minute.